Upper and lower semicontinuities of attractors for evolution problems with almost sectorial operators

• Grant number: 17/17502-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2018
• End date: August 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Karina Schiabel
• Grantee: Maykel Boldrin Belluzi
• Supervisor: Tomas Caraballo Garrido
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 17/09406-0 - Semilinear evolution problems with almost sectorial operators, BP.DR

Abstract

The aim of this project is to study the asymptotic behavior of solutions of the problem u_t = A(t)u + f(t,u), t>t_0 u(t_0) = u_0. More specifically, we intend to obtain results on upper and lower semicontinuities of pullback attractors for the problem above, when the operator A(t) generates a semigroup of growth \alpha, for some \alpha>0, and the nonlinearity f is regular enough.

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BELLUZI, MAYKEL; NASCIMENTO, MARCELO J. D.; SCHIABEL, KARINA. On a cascade system of Schrodinger equations. Fractional powers approach. Journal of Mathematical Analysis and Applications, v. 506, n. 1, FEB 1 2022. (17/17502-0, 19/26841-8, 17/09406-0)

BELLUZI, MAYKEL; CARABALLO, TOMAS; NASCIMENTO, MARCELO J. D.; SCHIABEL, KARINA. Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators. Journal of Differential Equations, v. 314, p. 42-pg., 2022-01-24. (17/17502-0, 19/26841-8, 17/09406-0)

BELLUZI, MAYKEL; CARABALLO, TOMAS; NASCIMENTO, MARCELO J. D.; SCHIABEL, KARINA. trong solutions for semilinear problems with almost sectorial operator. JOURNAL OF EVOLUTION EQUATIONS, v. 22, n. 1, MAR 2022. (19/26841-8, 17/17502-0, 17/09406-0)

BELLUZI, MAYKEL; BEZERRA, FLANK D. M.; NASCIMENTO, MARCELO J. D.. ON SPECTRAL AND FRACTIONAL POWERS OF DAMPED WAVE EQUATIONS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 21, n. 8, p. 35-pg., 2022-04-22. (17/17502-0, 19/26841-8, 17/09406-0)